3655217664 has 280 divisors, whose sum is σ = 12523156800. Its totient is φ = 1043601408.

The previous prime is 3655217653. The next prime is 3655217711. The reversal of 3655217664 is 4667125563.

3655217664 is a `hidden beast` number, since 3 + 65 + 521 + 7 + 6 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2612037 + ... + 2613435.

It is an arithmetic number, because the mean of its divisors is an integer number (44725560).

Almost surely, 2^3655217664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3655217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261578400).

3655217664 is an abundant number, since it is smaller than the sum of its proper divisors (8867939136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3655217664 is an frugal number, since it uses more digits than its factorization.

3655217664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1411 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3655217664 is about 60458.3961414790. The cubic root of 3655217664 is about 1540.4150317826.

The spelling of 3655217664 in words is "three billion, six hundred fifty-five million, two hundred seventeen thousand, six hundred sixty-four".